Website of the Workshop: http://ncts.ntu.edu.tw/events_2_detail.php?nid=178 On line Registration: https://goo.gl/forms/kekCD7g5zGfU1Wmo2
The 9th Taiwan‐Japan Joint Workshop for Young Scholars in Applied Mathematics (at NCKU)
1. Committee members:
Taiwanese organizers:
Jong‐Shenq Guo (郭忠勝) (Tamkang University) Yan‐Yu Chen (陳彥宇) (Tamkang University)
Chuin‐Chuan Chen (陳俊全) (National Taiwan University) Chun‐Hsiung Hsia (夏俊雄) (National Taiwan University) Jann‐Long Chern (陳建隆) (National Centrak University) Dong‐Ho Tsai (蔡東和) (National Tsing Hua University) Yung‐fu Fang (方永富) (National Cheng Kung University) Yu‐Chen Shu (舒宇宸) (National Cheng Kung University) Yu‐Yu Liu (劉育佑) (National Cheng Kung University)
Chang‐Hong Wu (吳昌鴻) (National Tainan Normal University)
Japanese organizers:
Hirokazu Ninomiya (Meiji University) Kota Ikeda (Meiji University)
Elliott Ginder (Meiji University) Yuichi Togashi (Hiroshima Universty) Yoshihisa Morita (Ryukoku University) Shoji Yotsutani (Ryukoku University) Tatsuki Kawakami (Ryukoku University)
Yoshikazu Yamagishi (Ryukoku University) Mayuko Iwamoto (Shimane University)
Local organizers:
Yung‐fu Fang (National Cheng Kung University) Yu‐Chen Shu (National Cheng Kung University) Yu‐Yu Liu (National Cheng Kung University) Chang‐Hong Wu (National University of Tainan)
2. Dates and Location of the workshop:
The 9th Taiwan‐Japan Joint Workshop for Young Scholars in Applied Mathematics (at NCKU)
Date: 2018‐03‐03 ~ 2018‐03‐05
Venue: NCKU, Cheng Kung Campus, College of Science, Ger‐Jyh Hall, Small lecture hall
(國立成功大學成功校區，理化大樓，格致廳小講堂)
Website of the Workshop: http://ncts.ntu.edu.tw/events_2_detail.php?nid=178 On line Registration: https://goo.gl/forms/kekCD7g5zGfU1Wmo2
3. Sponsors:
Taiwan:
(1), 理論中心 National Center of Theorectical Science (2), "數學推動中心 nscmrpc" <nscmrpc@math.sinica.edu.tw> (3), National Taiwan University (4), National Central University (5), National Cheng Kung University (6), Tamkang University
Japan:
(1), Department of Applied Mathematics and Informatics, Ryukoku University (2), Research Center for the Mathematics on Chromatin Live Dynamics, Hiroshima University (supported by the Platform for Dynamic Approaches to Living System, AMED, Japan) (3), Graduate school of Advanced Mathematical Sciences, Meiji University (4), Meiji Institute for Advanced Study of Mathematical Sciences (5), Shimane University
4. Speaker list:
5. Poster and program of the workshop:
6. Title and Abstract:
7. Itinerary:
8. Accomodation:
If there is any mistakes, please let us know. Any suggestions and comments are welcome.
The 9th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics
March 03-05, 2018 Venue: Ger-Jyh Hall, Small lecture hall, College of Science
National Cheng Kung University (Cheng Kung Campus)
國立成功大學成功校區，理化大樓，格致廳小講堂Website: http://ncts.ntu.edu.tw/events_2_detail.php?nid=178 On-Line Registration: https://goo.gl/forms/kekCD7g5zGfU1Wmo2
From Taiwan:
Tamkang University
National Center for Theoretical Sciences National Taiwan University
National Central University National University of Tainan National Cheng Kung University
From Japan:
Meiji University Hiroshima University Ryukoku University Tohoku University Shimane University
Organizers:
From Taiwan:
TKU: Jong-Shenq Guo, Yan-Yu Chen
NTU: Chuin-Chuan Chen, Chun-Hsiung Hsia NCU: Jann-Long Chern
NTHU: Dong-Ho Tsai
NCKU: Yung-fu Fang, Yu-Chen Shu, Yu-Yu Liu NUTN: Chang-Hong Wu.
From Japan:
Meiji University: Hirokazu Ninomiya, Kota Ikeda, Elliott Ginder
Hiroshima University: Yuichi Togashi
Ryukoku University: Yoshihisa Morita, Shoji Yotsutani, Tatsuki Kawakami, Yoshikazu Yamagishi
Shimane University: Mayuko Iwamoto.
Sponsors:
Taiwan:
National Center for Theoretical Sciences National Central University
National Cheng Kung University NSCMRPC
National Taiwan University National University of Tainan Tamkang University
Japan:
Department of Applied Mathematics and Informatics, Ryukoku University
Research Center for the Mathematics on Chromatin Live Dynamics, Hiroshima University Graduate School of Advanced Mathematical Sciences, Meiji University
Meiji Institute for Advanced Study of Mathematical Sciences Shimane University
Master: 33
Program UG: 5
0850~0900 Opening Ceremony PhD: 11
Saturday(03/03) Postdoc: 7
Chair: Yui Matsuda Monday(03/05)
0900~0910 Pin-Yu Wang 1630~1640 Masahiro Nakao 0900~1200 Informal Discussion
0910~0920 Shota Yamakawa 1640~1650 Xiaochen Duan
0920~0930 Yu Masuda 1650~1710 Break 1400~1700 Excursion
0930~0940 Hisashi Matsubara Chair: Lorenzo Contento
0940~0950 Ya-Lin Huang 1710~1720 Ti-Wen Lu Evaluation
0950~1000 Guan-Ting Lin 1720~1730 Yueh-Chun Kuo 1 Hirokazu Ninomiya
1000~1020 Break 1730~1740 Masami Koshino 2 Yoshihisa Morita
Chair: Jen-Hsu Chang 1740~1750 Yu-Kai Lin 3 Yuichi Togashi
1020~1030 Takuto Ogasawara 1750~1800 Ming-Hsiu Lu 4 Kota Ikeda
1030~1040 Yu-Shiuan Su 6 Elliott Ginder
1040~1050 Yuki Yagasaki Sunday(03/04) 7 Shoji Yotsutani
1050~1100 Yu-Hsun Lee Chair: Yueyuan Gao 8 Tatsuki Kawakami
1100~1110 Yuka Fukase Kabir Muhammad 9 Yoshikazu Yamagishi
1110~1130 Break Humayun 10 Mayuko Iwamoto
Chair: Shota Enomoto 0915~0930 Wei-Chiao Hsu 11 (舒宇宸) Yu-Chen Shu
1130~1140 Bing-Ze Lu 0930~0945 Kota Ohno 12 (劉育佑) Yu-Yu Liu
1140~1150 Takeru Kameda 0945~1000 Shih-Hsin Chen 13 (陳建隆) Jann-Long Chern
1150~1200 Chia-Hsin Lin 1000~1015 Break 14 (陳俊全) Chuin-Chuan Chen
1200~1210 Jo-Yun Chou Chair: Kabir Muhammad 15 (夏俊雄) Chun-Hsiung Hsia 1210~1220 Takahito Watanabe 1015~1030 Huai-hua Lu 16 (吳昌鴻) Chang-Hong Wu
1220~1230 Yen-Chen Chen Romero Llano 17 (陳彥宇) Yan-Yu Chen
1230~1330 Lunch Julian Andres 18 (郭忠勝) Jong-Shenq Guo
Chair: Gyeongha Hwang 1045~1100 David Yang 19 (蔡東和) Dong-Ho Tsai
1330~1340 Chin-Hsun Lu 1100~1115 Eduardo Jatulan 20 (史習偉) Hsi-Wei Shih
1340~1350 Riku Kanai 1115~1130 Break 21 (連文璟) Wen-Ching Lien
1350~1400 Yiwen Cheng Chair: Kota Ohno 22 (郭鴻文) Hung-Wen Kuo
1400~1410 Katsuhiko Kayahara 1130~1145 Romain Amyot
1410~1420 Yu-Hsiang Lan 1145~1200 Yu-Cheng Chang Chair List
1420~1430 Toshita Yamada 1200~1215 Pu-Zhao Kow 1 Yui Matsuda
1430~1450 Break 1215~1400 Lunch 2 (張仁煦) Jen-Hsu Chang
Chair: Chi-Jen Wang Chair: Hsin-Yi Lee 3 Shota Enomoto
1450~1500 Zhi-Haung Ke 1400~1420 Shota Enomoto 4 Gyeongha Hwang
1500~1510 Kana Mizuno 1420~1440 Shih-wei Chou 5 Shih-wei Chou
1510~1520 Ting-Yang Hsiao 1440~1500 Gyeongha Hwang 6 Lorenzo Contento
1520~1530 Koya Noda 1500~1540 Break 7 Yueyuan Gao
1530~1540 Shun-Chieh Wang Chair: Shih-wei Chou 8 Hsin-Yi Lee
1540~1550 Kazuki Ikeda 1540~1600 Yu-Shuo Chen 9 Yu-Shuo Chen
1550~1610 Break 1600~1620 Yueyuan Gao 10 Kota Ohno
Chair: Yu-Shuo Chen 1620~1640 Hsin-Yi Lee 11 Kabir Muhammad
1610~1620 Yu-Hsiang Tsai 1640~1700 Lorenzo Contento 12 Romain Amyot
Wei-Chien Liao
0900~0915
1030~1045
The 9th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics (at NCKU)
2018/03/03~ 2018/03/05 at NCKU, Tainan, Taiwan
The 9th Taiwan‐Japan Joint Workshop for Young Scholars in Applied Mathematics (at NCKU)
Date: 2018‐03‐03 ~ 2018‐03‐04Venue: Ger‐Jyh Hall, Small lecture hall, College of Science National Cheng Kung University (Cheng Kung Campus) 國立成功大學成功校區，理化大樓，格致廳小講堂 Website: http://ncts.ntu.edu.tw/events_2_detail.php?nid=178
Online Registration: https://goo.gl/forms/kekCD7g5zGfU1Wmo2 Title and Abstract:
Saturday (03/03)
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"M1‐(王品瑜) Pin‐Yu Wang" <benquanmany@gmail.com>, NCKU
Title: The Local Well‐Posedness of Quantum Zakharov System in One Spatial Dimension
Abstract: In this talk, we will a little introduce the local well‐posedness of QZ system in one dimension.The main result here which was introduced by YF Fang, HW Shih, KH Wang, 2017, and the main idea here is from J. Ginibre, Y. Tsutsumi, G. Velo, 1997.
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"M1‐Shota Yamakawa" <t17m008@mail.ryukoku.ac.jp>, Ryukoku U
"M1‐Yu Masuda" <t17m005@mail.ryukoku.ac.jp>, Ryukoku U
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"M2‐Hisashi Matsubara" <t16m008@mail.ryukoku.ac.jp>, Ryukoku U
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"M2‐(黃雅琳) Ya‐Lin Huang" <wul422115@gmail.com>, <l16044088@mail.ncku.edu.tw>, NCKU
Title: Stability of solitary waves for the Zakharov equations in one space dimension
Abstract: In this talk, we discuss the method to show the stability of the solitary wave solution. We apply the variational method introduced by Cazenave and Lions [2] to the coupled system of the Schrödinger equation. And use the proof to evolve the proof for Zakharov equations.
References:
[1] M. Ohta, Stability of solitary waves for the Zakharov equations in one space dimension, 数理解析研 究所講究録 (1995), 908: 148‐158.
[2] T. Cazenave and P. L. Lions, Orbital stability of standing waves for some nonlinear Schrödinger equations, Commun. Math. Phys. 85 (1982), 549‐561. ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
"M3‐(林冠廷) Guan‐Ting Lin" <L16044054@mail.ncku.edu.tw>, NCKU
Title: The scattering of the Klein‐Gordon‐Zakharov system.
Abstract: We would consider the 3‐dimension Klein‐Gordon‐Zakharov system with radial symmetry and given the theorem about small energy scattering.In the proof,we use the strichartz estimate to get the contraction mapping.
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"M‐Takuto Ogasawara" <cs171001@meiji.ac.jp>, Meiji U
"M2‐(蘇育萱) Yu‐Shiuan Su" <sensicanzlaura@gmail.com>, NUK
Title: Unraveling the Mystery of Alzheimer's Disease ‐ A Mathematical Model for Onset and Progression Abstract: Alzheimer's disease (AD) is a progressive and irreversible neurodegenerative disease that destroys memory and eventually the cognitive skills. Despite the extensive research, the pathogenesis of AD remains incompletely understood and no effective cure is available till now. Hence, mathematical models
(mathematics combined with numerical methods) can serve as a powerful tool to help us to know better the complex cross‐talks involving multiple cell types during disease progression. AD is primarily
characterized by the presence of extracellular senile plaques consisting of amyloid‐beta peptides (A‐beta) and intracellular neurofibrillary tangles consisting of tau protein. In this talk I will present a mathematical model of AD based on a system of differential equations and the amyloid hypothesis and the model involves A‐beta peptides, microglia, astrocytes and neurons. The novelty is that I also define a health indicator according to the model to serve as the indicator of the AD global development.
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"M‐Yuki Yagasaki" <cs171013@meiji.ac.jp>, Meiji U
"M2‐(李昱勳) Yu‐Hsun Lee " <andylee0914.tw@gmail.com>, NCKU
Title: Multi‐scale Computation and Analysis for Heterogeneous Data in Epidemic Models
Abstract: I worked on infectious disease model in the period of master study. The reason why I study in this model is that Tainan experienced severe dengue epidemics in 2015. According to the open data, some interesting issues are found. First, the result shows that the distance between new patients and existed patients obeys exponential distribution. Second, we use SEIR model and adjust the parameters in the smooth effective contact rate to fit historical data. By comparing the optimized effective contact rate and the epidemic prevention works by the government, the decay after prevention works gives a positive evidence for those works of government. In the future, we will integrate the multi‐scale method with geographic map data, and establish different materials such as social information, climate, community to establish a multi‐scale heterogeneous data epidemic model and discuss its computational efficiency and related error analysis.
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"M‐Yuka Fukase" <cs171010@meiji.ac.jp>, Meiji U
"M1‐(呂秉澤) Bing‐Ze Lu" <jackie84061258@gmail.com>, National Cheng Kung University
Title：Brian Reconstruction and Segmentation from CT and T1/T2 MRI Image
Abstract: Nowadays, according to the advanced medicine progress, clinicians highly depend on the medical imaging technique which allows them to visualise the representations of the interior patient body, such as computed tomography (CT) and magnetic resonance imaging (MRI). However, these medical images are outputted to the two‐dimensional pictures which may not provide the sufficient information for doing three‐dimensional computation research. Due to the previous reason, we would like to collect these images from the brain CT or MRI via the machine learning algorithms to obtain the segmentation and
reconstruction of the brain imaging. During this research work, there's some noise after processing.
Therefore, we plan to develop a suitable algorithm including the cutting edge concept of image processing, the statistical method based on the solid mathematical definition in order to get the better results. Finally, we would like to represent an algorithm, which may work on CT image and T1/T2 MRI image to generate high‐quality imaging for the three‐dimensional object. Hopefully, this research will be able to deliver a promising framework to aid clinicians to make the more precise decision.(Joint work with Yu‐Chen Shu and Dean Chou.) Keywords: T1/T2 MRI, CT, brain extraction, brain segmentation, 3D reconstruction
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"M2‐Takeru Kameda" <m164940@hiroshima‐u.ac.jp>, Hiroshima U
Title: A Theoretical Study of the Internal Structure and Dynamics of Single Nucleosomes Focusing on Effects of Core‐Histone Proteins
Abstract: Eukaryotic chromatin is composed of nucleosomes consisting of 147 base pairs of DNA and 4 types of core‐histone proteins such as H2A, H2B, H3, and H4 [1]. The amino‐acid sequences of these
histones have been widely conserved among eukary‐otes. DNA is wrapped around the core histone to form a nucleosome structure that make the chromatin compact and enable long DNA to be conned in the
nucleus. The positioning of nucleosomes on DNA sequences and their structural stability influences chromosome dynamics and functions [2]. Nucleosomes often change their position through their
reconstitution. Here, the binding and dissociation of different types of histone are regulated by different proteins [3, 4], and the exchange of H2A/H2B complex occurs more frequently than that of the other. From these facts, the presence or absence of each histone may contribute to the stability of nucleosome.
However, the details were unknown.
In this study, we performed fully‐atomic molecular dynamics simulation of several types of nucleosomes to analyze the contribution of each core‐histone to nucle‐osome structure stability. We particularly focused on the characteristics of typical conformations, free‐energy landscape structures, and global correlative
motions of the nucleosome containing all histone, that lacking one H2A/H2B hetero‐dimer, and that lacking one H3/H4 hetero‐dimer.
References
[1] Davey, Cu. A., et al., Journal of Molecular Biology 319.5 (2002): 1097‐1113.
[2] Jiang, C, and B. Franklin P., Nature Reviews Genetics 10.3 (2009): 161‐172.
[3] Formosa, T., Biochimica et Biophysica Acta (BBA)‐Gene Regulatory Mechanisms 1819.3 (2012): 247‐255.
[4] Bowman, A et al., Molecular cell 41.4 (2011): 398‐408.
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"M1‐(林佳昕) Chia‐Hsin Lin" <g053179053116@gmail.com>, CCU
Title: Online Selling Forecast ‐ Part I ‐ Factor Analysis
Abstract: Forecasting store sales is one of the key aspects of the retail loan evaluation. A reasonable credit limit can be evaluated by precise sales estimations, and so the utilization of bank funds can be raised. Small online business financing makes the online stores be available to check their loan limits at any time, and also bank funds can be directly transferred to the merchant‐related accounts. Online shopping mall
combined with commercial credit uses of embedded online services and technology capabilities to achieve the integration of online financial services.
Our problem is to establish sales‐forecasting model through the six months of sales orders, customer evaluations, advertizing costs and other information. In part I, we will describe how to analyze the most representative factor. In part II, we use several statistical prediction results (random forest, neural network, …) for comparison, and find a suitable prediction model for this data.
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"M1‐(周若澐) Jo‐Yun Chou" <zoe9101@gmail.com>, CCU
Title: Online Selling Forecast‐ Part II ‐ Model Selection
Abstract: Forecasting store sales is one of the key aspects of the retail loan evaluation. A reasonable credit limit can be evaluated by precise sales estimations, and so the utilization of bank funds can be raised. Small online business financing makes the online stores be available to check their loan limits at any time, and also bank funds can be directly transferred to the merchant‐related accounts. Online shopping mall
combined with commercial credit uses of embedded online services and technology capabilities to achieve the integration of online financial services.
Our problem is to establish sales‐forecasting model through the six months of sales orders, customer evaluations, advertizing costs and other information. In part I, we will describe how to analyze the most representative factor. In part II, we use several statistical prediction results (random forest, neural network, …) for comparison, and find a suitable prediction model for this data.
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"M2‐Takahito Watanabe" <m163042@hiroshima‐u.ac.jp>, Hiroshima U
Title: Analysis of Sand Dune Dynamics under unidirectional steady flow Using Lattice Boltzmann Method Abstract: Understanding of the dynamics of sand dunes, which are the largest sand topographies on the earth, have been developed through field observations, laboratory experiments, and numerical modeling.
However, sand dunes require enormously long time for their movement, in addition, their dynamics are driven by the complex interactions between fluid and sand particles along dune surface. Therefore, various aspects of full‐scale dynamics of dunes have little been elucidated until now. In this research, we focus on the Barchan dunes which have a typical shape, the crescentic form, of dunes. They have been observed also on the surface in other planets such as Mars and Titan in recent years. We use a mathematical model combining fluid movement and sediment transport in order to elucidate the mechanism of forming and
dunes with changing the Reynolds number Re, which is defined by the ratio between the unidirectional inflow speed and the initial height of dunes. As a result, the dynamics of the fluid were divided into three characteristic patterns according to Re. In the case of low Re, no vortex was generated in the flow field and the height of dunes monotonically decreased with time. On the other hand, the steady vortices were observed behind dunes within an appropriate range of Re in which case the steady shape of Barchan dunes was kept for long time. Reference:
[1] B. Chopard and A. Masselot, Future Generation Computer Systems 16, 249 (1999)
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"M2‐(陳彥禎) Yen‐Chen Chen" <yanjen224@gmail.com>, NTU
Title: "Prostate Pathology Image Classification"
Abstract: Deep learning has recently been proved to be very effective for image recognition since 2012.
Medical images, as one of the most important category of images, however, hasn't been well studied with deep learning. Researchers encounter problems like lack of data number and robustness, extremely large data size, etc. Pathology images are images of dyed human tissue, which is often used for cancer diagnosis.
In this research, I use various of deep learning techniques to classify prostate pathology images of different grades. The accuracy we achieved has been the best so far to our knowledge.
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"M2‐(呂金勳) Chin‐Hsun Lu" <l16041056@mail.ncku.edu.tw>, NCKU
Title: Parallelization of a Code for Solving Multidimensional Cardiac Models
Abstract: In our work, we develope a package method to simulate the action potential wave propagation on cardiac tissues and use the OpenMP and CUDA technique to accelerate the code. We consider the monodomain model in our project. The monodomain electrocardiac wave equation is a reaction‐diffusion equation and the reaction term is goverened by a cardiac cell model which. consists of many ordinary differential equations. For a preliminary study, we use the finite difference method to discretize the
differential equations. To improve the performance, we use the OpenMP and CUDA to accelerate our code.
The packages can be used to study medical problems, for example, phenomena related to the cardiac fibroblasts, ion‐channels related heart disease, etc in the future.
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"M‐Riku Kanai" <ukir.kni@gmail.com>, Meiji U
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"M2‐(鄭怡玟) Yiwen Cheng" <chywen18@gmail.com>, NUK
Title: Mathematical Model of Complement System
Abstract: When pathogens attack our body, immune system will avoid the invasion. We usually classify immune system into innate and adaptive immune systems. Complement system is made up of proteins.
After being activated, complements trigger the following functions: phagocytosis (by opsonizing antigens), inflammation (by attracting macrophages and neutrophils), membrane attack (by rupturing cell wall of bacteria) and coagulation (by agglutinating pathogens). Complement system also connects innate and adaptive immune system. Certain substances of complements could be the indicator of effectiveness of
"M2‐Katsuhiko Kayahara" <m161833@hiroshima‐u.ac.jp>, Hiroshima U
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"M2‐(藍鈺翔) Yu‐Hsiang Lan" <R05246001@g.ntu.edu.tw>, NTU
Title: Numerical Methods of Poisson‐Nernst‐Plank Based Models with Parallel Implementation and Applications
Abstract: Poisson‐Nernst‐Plank (PNP) equation is a well‐known model for describing ion transport in many physical and biological phenomena. Due to the ionic size, steric repulsion may be caused by crowded ions in several biological systems, so the modified PNP with additional steric terms has been proposed, which are nonlinear, highest‐order derivatives terms, and coupled by all kinds of ions.
I’ll present spectral element schemes and implementation for solving unsteady and steady‐state PNP‐steric model in the Argonne‐developed scalable high‐order software package, NekCEM. I’ll also demonstrate convergence studies for validating our schemes, provided with some preliminary results of applications to ion transport simulations with a real protein structure of KcsA potassium channel. The complex geometry is taken care by imposing internal boundary condition, and simulations are performed on more than
thousands of CPU cores on the Argonne Leadership Computing Facility (ALCF).
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"M2‐Toshita Yamada" <m163265@hiroshima‐u.ac.jp>, Hiroshima U
Title: Hydrodynamic Analysis of turning mechanism of Euglena gracilis by propagating a solitary wave on single flagellum
Abstract: Euglena gracilis is a microorganism swimming with the single flagellum stemming from the head (, the direction of the swimming). This way of swimming is different from other microorganisms such as E.
Coli and sperms. The flagellum motion of E. gracilis during swimming, especially during turning mechanism, has not been clarified. We analyzed the swimming Euglena, and found characteristic flagellum motion. In particular, Euglena had a characteristic motion when the body changes the direction. In this situation, the flagellum is not twisting around the body but extends off the body and a solitary wave is propagated from the base to the tip, by which a torque to turn is generated. We constracted mathematical models and calculate the hydrodynamic force by several methods. We report differences in natures of several models based on calculated result. Efficiency of these models and comparison with experiments will be discussed.
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"M1‐(柯智煌) Zhi‐Haung Ke" <shadowblue597@gmail.com>, NCKU
Title: Notes on Chebyshev polynomial of the first kind
Abstract: In this talk, I shall present the Dickson polynomial of the first kind, the Chebyshev polynomial of the first kind and the Stirling numbers. Especially, I will refer to present their relations and their application to the Riordan group.
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"M‐Kana Mizuno" <true.blue.sky20@gmail.com>, Shimane U
Title: Toward an understanding of a mechanism for dynamic pattern formation in cuttlefish
Abstract: Some mechanism of pattern formation on animal skin has been understood by reaction diffusion equation such as Turing model. In this model, the spatial pattern changes with time evolution, but it converges to a stable pattern. On the other hand, pattern formation of cephalopods changes
instantaneously, and the time scale is fast compared with the Turing pattern formation. In the case of cephalopods, the patterns are changed by muscle contraction around pigment cells. In this study, toward understanding pattern formation in cuttlefish, as the first step, we aim to build a simple model by capturing the characteristics of cuttlefish’s skin structure.
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"M3‐(蕭定洋) Ting‐Yang Hsiao" <r04221011@ntu.edu.tw>, NTU
Title: Estimates of population sizes for traveling wave solutions of Lotka‐Volterra competition systems with non‐local diffusion.
Abstract: For the two species Lotka‐Volterra discrete competition‐diffusion system, Chen‐Hung‐Hsiao obtained total mass estimates for the traveling wave solutions. In this talk, we are interested in the problem if similar estimates also hold for the traveling wave solutions of Lotka‐Volterra competiton systems with
"M2‐Koya Noda" <t16m006@mail.ryukoku.ac.jp>, Ryukoku U
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"M2‐(王舜傑) Shun‐Chieh Wang" <fashionalhero@yahoo.com.tw>, NTU
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"M‐Kazuki Ikeda" <cs171007@meiji.ac.jp>, Meiji U
Title: Reaction‐diffusion equation in growing region
Abstract: When we study reaction‐diffusion equations, we usually treat them in a fixed domain. However, it is often observed that distributions of chemical substances fluctuate by the effect of reaction and diffusion, while the domain varies in biological phenomena, such as animal coat pattern. Thus, it is natural to
consider the effect of changes of domain. In this talk, we propose one of the manners of growing domain and study its property. I will apply it to a model for pattern formation of snakes’ skin that was proposed by Murray [1].
[1] James D. Murray (2003), “Mathematical Biology II: Spatial Models and Biomedical Applications ”
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"M2‐(蔡宇翔) Yu‐Hsiang Tsai" <mikemike10212003@gmail.com>, NTU
Title: A divide‐and‐conquer Contour Integral Eigensolver
Abstract: Implement the contour integral eigensolver with a divide‐and‐conquer method. The eigensolver based on Contour Integral is a powerful tool to solve the whole eigenpairs in a specific region. For some reasons, we need to split the interval. Thus, how to divide the interval without losing eigenpairs is a significant problem. Moreover, apply the conquer technique to pick up those eigenpair lost in the dividing step.
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"M2‐(廖為謙) Wei‐Chien Liao" <b00201028.ntu@gmail.com>, NTU
Title: An Efficient Contour Integral Based Eigensolver for Surface Plasmon Simulations
Abstract: In this talk, I will introduce the surface plasmon problem modelled by the Maxwell equations, derive the corresponding eigenvalue problem from the model equations and discuss my research on developing an efficient contour integral based eigensolver to the problem.
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"M1‐Masahiro Nakao" <m175703@hiroshima‐u.ac.jp>, Hiroshima U
Title: Experimental Study of Situation‐Dependent Task Allocation in Camponotus japonicus
Abstract: Activity for performing several kinds of tasks by ants in each colony shows hierarchical structures.
That is, some fraction of ants in a colony are more diligent to fulfill each task than the remaining part of ants in the same colony. In this sense ants in a colony can be divided into two types, lazy and diligent based on their degree of activity on a task. When ants in a colony are separated into two groups, the lazy group and the diligent group before separation, some ants in the lazy group become more diligent than before separation, and some ants in a diligent group become more lazy than before [1]. This behavioral change is well explained by Response Threshold Model [2]. However, there is not enough argument whether the Response Threshold Model is applicable when the separated ants groups are recombined again to one group. We observed behavioral change of each individual ant when recombining the separated ant groups of Camponotus japonicus. We confirmed the behavioral changes which can be explained by the Response
in the monomorphic ant, Myrmica kotokui ”, J Ethol, 31:61‐69, (2013)
[2] E.Bonabeau,G.Theraulaz and J.‐L. Deneubourg, “Quantitative study of the fixed threshold model for the regulation of division of labor in insect societies ”, Proc. R. Soc. Lond. B, 263:1565‐1569, (1996)
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"M2‐(段嘯晨) Xiaochen Duan" <duanxiaochen@yahoo.com>, NTHU
Title:
Abstract:
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"UG4‐(盧提文) Ti‐Wen Lu" <ivy19951114@gmail.com>, NCKU
Title: DNA Topology
Abstract: DNA Topology began in the last decades of the 20th century, and is still the focus of biophysical discussions. These all started from a simple question about the spatial structures of DNA, which opened the door to an interesting research area for both Biology and Mathematics. In this talk, I will show you
Topological aspects of DNA structures that will provide an insight into biochemical mechanisms.
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"UG4‐(郭玥均) Yueh‐Chun Kuo" <zxcv9869@gmail.com>, NCKU
Title：Amortization and sinking fund
Abstract：To analyze the amortization schedule, we show the interrelationships between the balance, principal payments, and interest payments over the life of a loan. Then show that how to use the
amortization schedule for sinking fund, which accumulated over time, with the intention of being sufficient to pay off the original loan balance at the end of the life of the loan.
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UG4‐Masami Koshino" <t130034@mail.ryukoku.ac.jp>, Ryukoku U
Title: Thistlethwaite's method for the FULRD problem of Rubik's cube
Abstract: Rubik's cube group $G$ is a finite group of order $4.3*10^{19}$. Rokicki et al. (2010) showed that in the FTM(Face Turm Metric), the diameter of G is 20, which was called God's number.
It is known that the cube can be solved by the moves in only 5 faces, for example F(forward), U(up), D(down), L(left), and R(right). That is, the 90 degree move in the back face B can be reproduced by some combinations of F, U, L, R and D's. Our task is to estimate the diameter of G in the FULRD‐FTM metric, which we call FTM5. The classical by M.Thistlethwaite can be applied directly to FTM5. It considers a sequence of subgroups G = G0 > G1 > G2 > G3 > G4=id, and calculate the sum of the diameters of G/G1, G1/G2, G2/G3, and G3/G4=G3. In the ordinary FTM, which we denote by FTM6, the sum of the diameters is 7+10+13+15=45 (Thistlethwaite, 1981), whereas in FTM5, the sum of the diameters is 11+11+13+16=51.
The diameters G/G2 and G2/G4=G2 give better estimate of God's number. In FTM6, diam(G/G2) + diam(G2)
= 12 + 18 = 30 (H. Kociemba, 1995). In FTM5, we have diam(G/G2) + diam(G2) = 14 + 18 = 32.
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"UG2‐(林育愷) Yu‐Kai Lin" <stephen359595@gmail.com>, NCU
Title: A Survey of Curved Document Image Rectification
Abstract: Optical Character Recognition (OCR) is widely‐known in modern image processing; however, the annoying problem is that OCR may fail in dealing with document images of distortion occasionally. In this discussion, we will expound some methods of curved document image rectification. Additionally, we will discuss a model associated with distorted document images, and apply this model to each method
mentioned above. With some experimental results, we will analyze the difference of each method in detail, and eventually make our own opinion.
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"UG3‐(呂明修) Ming‐Hsiu Lu " <hugo572G@outlook.com>, NCU
Title: A description of object in space and 3D point cloud segmentation
Abstract: In this talk, I will introduce a way to descript the object in space – point cloud. At the same time, I will focus on the goal which I be asked to hit and make discussion of the current progress and future work.
In discussion, normal and curvature will be the principal mathematical tool.
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Sunday(03/04)
"D‐Kabir Muhammad Humayun" <kabir@meiji.ac.jp>, Meiji U
Title: Modeling of the effect of farming technology in the Neolithic transition of Europe
Abstract: The Neolithic transition is a demographic shift from hunter‐gatherers to farmers, which is one of the major transformations in the course of human evolution. Archeological evidence of Neolithic transition suggests that expanding velocity of farmers is roughly constant [1,2]. To understand such phenomenon, many theoretical attempts have been progressed through mathematical modeling [2]. Existing modeling approaches on Neolithic transition indicates that expanding velocity is faster than the observed one. For understanding of this difference, we propose a three‐component reaction‐diffusion system which involves two different types of farmers: sedentary and migratory ones [3]. Moreover, we introduce the influence of farming technology on the spread of farmers. Our goal is to study the relation between the expanding velocity and farming technology. In this talk, we focus on the one‐dimensional traveling wave solution with minimal velocity when the expanding pattern of farmers is radially symmetric. Finally our model suggests that the minimal velocity of traveling waves explains the spreading velocity of farmers when expanding pattern exhibits radial symmetry. Numerical result reveals that the minimal velocity of traveling wave solutions becomes slower when farming technology is suitably developed [4]. Furthermore, we address the question: Does the radial symmetry of expanding patterns always hold or not? This is a joint work with Jan Elias (Univ. Graz, Austria) and Je‐Chiang Tsai (National Tsing Hua Univ., Taiwan).
References:
[1] A. J. Ammerman and L. L. Cavalli‐Sforza, Measuring the rate of spread of early farming in Europe, Man,
[3] J. Elia_s, M. H. Kabir and M. Mimura, On the well‐posedness of a dispersal model of farmers and hunter‐gatherers in the Neolithic transition, Mathematical Models and Methods in Applied Sciences, Vol.
28, No. 2, 195 ‐ 222 (2018).
[4] M. H. Kabir, M. Mimura and J. C. Tsai, Spreading waves in a farmers and hunter‐gatherers model of the Neolithic transition in Europe, in preparation.
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"D3‐(許惟喬) Wei‐Chiao Hsu " <math0122control1017@gmail.com>, NCKU Title : Linear Algebra and Dynamical System for Control Theory
Abstract : In this talk, I'll introduce some not‐so‐common concepts in the course of linear algebra and dynamical systems, but they are of great use in Control Theory. And I will give an example to show what the meaning of control is.
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"D‐Kota Ohno" <aiko.shiawase20x@gmail.com>, Meiji U
Title: Global feedback to oscillatory reaction diffusion system with Belousov‐Zhabotinsky reaction Abstract: Pattern dynamics that is observed in chemical reaction, biology and physiology et al. has been explained by using reaction diffusion systems (RD system). However, we have not understood sufficiently that we control patterns in oscillatory RD system[2]. So, it is an important problem for understanding pattern dynamics to give feedback control to RD system. Swinney et al. reported that photo‐sensitive Belouzov‐Zhabotinsky(BZ) reaction transformed a rotating spiral wave to a labyrinthine standing‐wave pattern by giving periodic light stimulation[3]. On the other hand we reported theoretical research. If we give global feedback to the activator of RD system, we can observe hexagon pattern and stripe pattern stably. (These patterns are unstable normally.)[1, 4]
Under the above background, we tried to apply global feedback control system to photo‐sensitive BZ reaction. At first, we considered to give global feedback to inhibitor of Oregonator model in order to adapt to BZ reaction. In this system, we observed standing wave oscillation. And we can approach feedback system to 3‐component RD system. So we might expect that this standing wave is a natural behavior of BZ reaction system unlike the case of Swinney's experiment. By considering reducted‐ODE system, we consider that this standing wave oscillation relates to period‐doubling bifurcation. And we tried to observe
corresponding results by using real BZ reaction.
References
[1] K. Kashima，T. Ogawa and T. Sakurai，"Selective pattern formation control: Spatial spectrum consensus and Turing instability approach”，Automatica， 56，(2015)．
[2] A. Mikhailov and K. Showalter，"Control of waves, patterns and turbulence in chemical systems"，Physics Reports，425，79‐194，(2006)．
[3] Valery Petrov，Qi Ouyang and Harry L. Swinney，"Resonant pattern formation in a chemical system"
Nature，388，655‐657．(1997)．
[4] Y. Umezu，T. Ogawa，K. Kashima，Selective Stabilization of Unstable Standing Waves in a Reaction‐
diffusion System，Transactions of the Society of Instrument and Control Engineers，51(2)，110‐119，(2015).
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"D3‐(陳世昕) Shih‐Hsin Chen" <d03221002@ntu.edu.tw>, NTU
Title: Synchronization and Kuramoto Model
Abstract: In this talk, I will introduce some phenomenon of synchronization and the first order Kuramoto model. The sufficient condition of frequency synchronization will also be contained in this presentation.
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"D3‐(呂懷華) Huai‐hua Lu" <r01221013@ntu.edu.tw>, NTU
Title: A mutation‐selection model
Abstract: In a paper of King‐Yeung Lam and Yuan Lou, they considered a PDE model constructed by the spatial variables and a trait variable α which represents the mutation. The environment is spacially heterogeneous but temporally constant. The diffusion rate in the space variable is exactly α. They proved that for each ε > 0 the correspnding steady state, u , will converge to the eigenvector of a corresponding problem with lowest α. In this talk, we consider the dilusion rate with a more general form, i.e. a function of α, H(α).
References
[1] King‐Yeung Lam, Yuan Lou, "An integro‐PDE model for evolution of random dispersal", Journal of Functional Analysis. Volume 272, Issue 5(2017).
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"D‐Romero Llano Julian Andres" <jaromero_18@hotmail.com>, Meiji U
Title: Origami Pattern Design for Building 3D Irregular Shapes with a Robot System
Abstract: Today, the ancient art of paper‐folding formally known as origami has attracted the attention of the scientific community, due to its applications in vast number of fields, such as: air‐spatial panels, medicine, architecture, and packaging. Be able to do automatic paper‐folding using a robot has been a challenge for almost 20 years.
For a human being, that has a vast number of censoring systems, creating a three‐dimensional (3D) origami figures, is in many occasions very simple. On the other hand, for a robot, that has a limited number of reachable movements and censoring, the complexity in a crease pattern plays an important role to determinate which patterns can be folded by the robot.
The origami patterns from previous works were intended to be assembled by hand and have folds that are very difficult to execute with a robot due to handling problems. In in our previous work [1], a crease pattern design methodology was proposed to create 3D shapes based in surface of revolution and able to be folded by a robot. This methodology uses a combination of simple folds with gluing segments to simplify the crease pattern. In this methodology, the crease patterns are created from a two‐dimensional (2D) profile, that is divided into number of equal segments and rotated by 2 ⁄ , from 0 to 2 . The resulting pattern, are two sets of trapezoids, one of them are the base panels that forms the final 3D shape, and the other ones are the resulting gluing flaps. Although this methodology can be used to build interesting 3D shapes it is limited to only figures based in surface of revolution.
pattern. The method uses the spatial information of the vertices to perform a triangulation, preserving the cylindrical projection that is required to generate symmetrical gluing areas required by the robot to perform an automatic folding.
Several examples are shown to demonstrate the reliability of this crease patterns. Apart of this, a general solution is exposed to applying this methodology to any type of shapes. This methodology not only can be used to perform automatic folding, but also can be used to simplify complex crease patterns to be made by hand and reduce the time to create these shapes.
[1] J. A. Romero, L. A. Diago, and I. Hagiwara, Norigami Crease Pattern Model Design Based on Surfaces of Revolution, ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp V05BT08A047‐‐V05BT08A047, 2017.
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"D2‐(楊大緯) David Yang" <l18051015@mail.ncku.edu.tw>, NCKU
Title: Mathematical model and Decision
Abstract: We study the war of two armies under some hypothesis, write down the simultaneous differential equations, and solve it.
Next we observe the behavior of the solutions, and find out the discriminate of the simultaneous differential equations. The discriminate tell us which team wins.
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"D2‐Eduardo Jatulan" <eojatulan@up.edu.ph>, NSYSU
Title: Dispersion relations for some periodic quantum graphs
Abstract: We study the periodic spectrum of some differential operators, in particular the Schrödinger operator acting on infinite polygonal graphs. Using Floquet‐Bloch theory, we derive and analyze on the dispersion relations of the periodic quantum graph generated by triangles and rectangles. The analytic variety, also called Bloch variety, gives the spectrum of the differential operators. Furthermore, it is well known that there are 11 types of Archimedean tilings in the plane. We take two of them, the trihexagonal tiling (3,6,3,6) and truncated hexagonal tiling (3,12,12). Through a systematical characteristic function method, we are able to derive the dispersion relation on the graphs formed by these tilings. We note that these dispersion relations are surprisingly simple, making it possible for further analysis.
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"D2‐Romain Amyot" <romain‐amyot@hiroshima‐u.ac.jp>, Hiroshima U
Title: The role of the binding domain of the enzyme Pin1 in a system.
Abstract: The prolyl isomerase Pin1 is a two‐domain enzyme consisting of a reactive domain accelerating reactions of some proteins and a binding domain which binds its targets. It is thought that Pin1 helps the folding of proteins and thus alters their shape and their functions. Indeed, proteins should adopt a specific conformation to carry out their roles, then, Pin1 could act as a regulator by activating proteins. In vitro experiments suggest the binding domain binds to a site in the substrate and the reactive domain catalyses another site. The binding domain is thus thought to bring the reactive domain near its substrates
enhancing the reactivity. But how is the reactivity in a system where many Pin1 molecules interact with many substrate molecules ? The overall reactivity should depend on several parameters including the
number and the structure of molecules and the binding affinity. Considering an abstract model consisting of substrates which switch between a folded state and an unfolded state within reactions with Pin1 molecules, we aim to infer some properties in the role of the binding domain on the overall dynamics.
Especially, we are interested in its role in cases ranging from systems with an excess of Pin1 molecules to systems with an excess of substrate molecules since these situations are present in some diseases as cancers (over‐expression) and Alzheimer's disease (down‐regulation). Using stochastic simulations, we observe that the distribution of active and inactive substrates at the steady state can vary a lot regarding the number of molecules. In particular, for an excess of either Pin1 molecules or substrate molecules, the distribution resembles those of the case without considering the binding suggesting that the effect of the binding domain is neglected if one of the reactants are in excess over the other.
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"D‐(張育晟) Yu‐Cheng Chang", <andyyczhang@gmail.com>, NCU
Title: 2D semantic segmentation assisted point clouds segmentation
Abstract: Simultaneous localization and mapping (SLAM) is the problem of constructing a map of an
unknown environment by a mobile robot while at the same time navigating the environment using the map.
In this talk, we consider some errors of map caused by matching algorithms, and we propose a method for accurate point clouds segmentation based on discrete normal, curvature, and 2D semantic segmentation.
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"D1‐(邱普照) Pu‐Zhao Kow" <kow4896@gmail.com>, NCKU
Title: Schauder’s Estimates and Asymptotic Behavior of Solutions of the Stationary Navier‐Stokes Equation in an Exterior Domain
Abstract: In this paper, we improve the result in [1], which concern about the asymptotic behavior of an incompressible fluid around a bounded obstacle. Under some assumptions weaker than [1], any nontrivial velocity field obeys a minimal decaying rate
exp | |
⁄log| | at infinity. Our proof is based on appropriate Carleman estimates and the regularity result, namely the Schauder’s estimate for stationary Navier‐Stokes equation. (Joint work with Lin, Ching‐Lung) Reference:
[1] Lin, Ching‐Lung; Ulhmann, Gunther; Wang, Jenn‐Nan, Asymptotic behavior of solutions of the stationary Navier‐Stokes equations in an exterior domain. Indiana Univ. Math. J. 60 (2011) no. 6, 2093‐2106.
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"PD‐Shota Enomoto" <s_enomoto@meiji.ac.jp>, Meiji U
Title: Large time behavior of the solution to compressible Navier‐Stokes equation around space‐time periodic flow
Abstract: We consider the compressible Navier‐Stokes equation around space‐time periodic solution in an 2,3) under the action of a space‐time periodic external force.
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systems theory. By the technique of GSP, we show that the necessary condition for the existence of traveling pulses is that their limiting profiles with vanishing diffusion can only consist of the slow flows on the critical manifold of the corresponding algebraic‐differential system. We also consider the linear instability of these pulses by the spectral analysis of the linearized operators.
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"PD‐(高月圓) Yueyuan Gao" <yueyuangao.wh@gmail.com> (MathAM‐OIL, AIST c/o AIMR, Tohoku University, Japan)
Title: Existence and uniqueness results for a first order conservation law involving a Q‐Brownian motion Abstract: Inspired by the works of Bauzet et al. [1, 2], we consider a first order stochastic conservation law with a multiplicative source term involving a Q‐Brownian motion. We first present the result that the discrete solution obtained by a finite volume method converges along a subsequence in the sense of Young measures to a measure‐valued entropy solution as the maximum diameter of the volume elements and the time step tend to zero [3]. This convergence result yields the existence of a measure‐valued entropy
solution. We present the Kato's inequality and as a corollary we deduce the uniqueness of the measure‐valued entropy solution as well as the uniqueness of the weak entropy solution. The Kato's inequality is proved by a doubling of variables method; in order to apply this method, we study an associated nonlinear parabolic problem. Finally we show some numerical results of stochastic Burgers equation by applying finite volume method and Monte‐Carlo method. This is joint work with Tadahisa Funaki (Waseda University) and Danielle Hilhorst (CNRS and Universite Paris‐Sud).
References
[1] C. Bauzet, J. Charrier and T. Gallouet, Convergence of monotone nite volume schemes for hyperbolic scalar conservation laws with a multiplicative noise, Stochastic Partial Dierential Equations: Analysis and Computations, 4, 2016, 150223,
[2] C. Bauzet, G. Vallet and P. Wittbold, The Cauchy problem for a conservation law with a multiplicative stochastic perturbation, Journal of Hyperbolic Dierential Equations, 9, 2012, 661709.
[3] T. Funaki, Y. Gao and D. Hilhorst, Convergence of a nite volume scheme for a stochastic conservation law involving a Q‐Brownian motion, Accepted for publication by DCDS‐B, AIMS, hal‐01404119.
[4] T. Funaki, Y. Gao and D. Hilhorst, Uniqueness of the entropy solution of a stochastic conservation law with a Q‐Brownian motion, in preparation.
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"PD‐(李信儀) Hsin‐Yi Lee" <apostol2000@hotmail.com>, NCU
Title: The generalized Riemann solver to a multi‐lanes model in traffic flows
Abstract: In this talk, we consider a multi‐lanes model of traffic flow, which is governed by a hyperbolic system of balance laws. The system of balance laws is given as a 2 b Mizunoy 2 nonlinear hyperbolic system with discontinuous source. The physical meaning of the model will be described in the first part of the talk.
Secondly, we study the generalized solution to the Riemann problem by using Lax’s method and the construction of perturbation solving associated linearized hyperbolic equations. The residuals are estimated for the consistency of the generalized Glimm scheme.
"PD‐Lorenzo Contento" <lorenzo.contento@gmail.com>, Meiji U,
Title: The mechanism behind traveling wave interaction in a reaction‐diffusion system
Abstract: One‐dimensional traveling wave solutions are an important tool for the study of reaction‐
diffusion systems. In particular, their interaction and their planar stability can be used to explain the occurrence of complex patterns in two‐spatial dimensions. In this talk we will present a couple of fronts which interact in different ways depending on the value of a free parameter. We will reveal the mechanism behind this change of behaviour by studying the bifurcation structure of the traveling wave solutions.
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α β γ δ ζ ε η θ κ λ μ ν ξ π ρ σ τ υ φ χ ψ ω ϕ ξ ∂ ϕ δ ε π θ Φ Ψ ω λ η κ ρ ν x → ≤ ≥ ∈ Θ ∩Σ ǁ ≠∥ ∆ ≡ ≈ ∞ ӧ ⊆⊇⊈⊉⊊⊋ ⫼ ≪ ≫ Ω Ψ Φ ϕ
